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Simplifying ln(4x) + -1ln(2x) + -1ln(2x) + ln(x) = 0 Remove parenthesis around (4x) ln * 4x + -1ln(2x) + -1ln(2x) + ln(x) = 0 Reorder the terms for easier multiplication: 4ln * x + -1ln(2x) + -1ln(2x) + ln(x) = 0 Multiply ln * x 4lnx + -1ln(2x) + -1ln(2x) + ln(x) = 0 Remove parenthesis around (2x) 4lnx + -1ln * 2x + -1ln(2x) + ln(x) = 0 Reorder the terms for easier multiplication: 4lnx + -1 * 2ln * x + -1ln(2x) + ln(x) = 0 Multiply -1 * 2 4lnx + -2ln * x + -1ln(2x) + ln(x) = 0 Multiply ln * x 4lnx + -2lnx + -1ln(2x) + ln(x) = 0 Remove parenthesis around (2x) 4lnx + -2lnx + -1ln * 2x + ln(x) = 0 Reorder the terms for easier multiplication: 4lnx + -2lnx + -1 * 2ln * x + ln(x) = 0 Multiply -1 * 2 4lnx + -2lnx + -2ln * x + ln(x) = 0 Multiply ln * x 4lnx + -2lnx + -2lnx + ln(x) = 0 Multiply ln * x 4lnx + -2lnx + -2lnx + lnx = 0 Combine like terms: 4lnx + -2lnx = 2lnx 2lnx + -2lnx + lnx = 0 Combine like terms: 2lnx + -2lnx = 0 0 + lnx = 0 lnx = 0 Solving lnx = 0 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Simplifying lnx = 0 The solution to this equation could not be determined.
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